Lovullo managed Triple A Pawtucket in 2010 before joining Farrell in Toronto. He was one of the candidates the Red Sox interviewed last year before they hired Bobby Valentine.

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“It’s uncertainty, that’s all I know at this point,” Lovullo said. “Nothing has been decided.”

Lovullo said his relationship with Farrell makes it natural to think he could return to the Red Sox.

Ortiz update

David Ortiz said his straight right Achilles’ tendon is healing well. He had an ultrasound treatment two weeks ago that he believes helped.

Ortiz was injured July 16 and played only one game the rest of the season, on Aug. 24, when he reinjured himself.

“I’m moving around a lot better,” Ortiz said. “It’s going to be fine.”

Ortiz also is hopeful of coming to a contract agreement before the end of the World Series, which starts Wednesday. Agent Fern Cuza, he said, has been talking to the Red Sox regularly.

“Something will get done,” Ortiz said. “I feel good about it.”

Red Sox general manager Ben Cherington said after the season that retaining Ortiz was a priority. The veteran designated hitter is seeking a multiyear deal.

Aviles departs

Mike Aviles will go down in history as being the first player the Red Sox traded for a manager. He spent a season and a half on the team, earning the starting shortstop job in spring training this season.

Aviles had a much better season than expected. His defensive play at shortstop was strong and he contributed 41 extra-base hits.

Aviles had 546 plate appearances, more than anybody on the team outside of Dustin Pedroia. A .282 on-base percentage was his drawback.

“Wanna thank #RedSoxNation for all the support, great city, team and fans! Loved my time there but now it’s time for a new chapter!” he wrote on Twitter.

Blue Jays GM Alex Anthopoulos said Aviles was an attractive player because of his position.

“He is a hard-nosed player. He is a gamer. He’s not without his flaws, if you look at the on-base and so on, but he is a high-energy player,” Anthopoulos said. “He has some power. The fact that he can play the middle infield, which is so hard to find in today’s game and is becoming harder and harder to find [is a plus].”

Carpenter added

Under MLB rules, the compensation for Farrell had to be part of a trade. The Red Sox received righthanded reliever David Carpenter.

Carpenter, 27, has struck out 60 over 60 innings in 67 career appearances with the Astros (2011-12) and Blue Jays (2012). He is 1-5 with one save and a 5.70 ERA in his big league career.

Toronto was planning to designate Carpenter for assignment. Originally a catcher, Carpenter converted to pitching midway through the 2008 season.

Jays start search

Anthopoulos said there were no front-runners to replace Farrell. One possibility could be Orioles third base coach DeMarlo Hale, who interviewed in Toronto two years ago and interviewed with the Red Sox last week . . . Japanese high school righthander Shohei Otani will pursue a career in the majors and asked Japanese teams not to draft him. The Red Sox and Dodgers are among the teams that have scouted the 18-year-old, whose fastball reaches 100 miles per hour.

Nick Cafardo of the Globe staff contributed. Peter Abraham can be reached at pabraham@globe.com.